10717808640 has 768 divisors, whose sum is σ = 44834549760. Its totient is φ = 2119434240.

The previous prime is 10717808581. The next prime is 10717808659. The reversal of 10717808640 is 4680871701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-3 number, since 3×10717808640³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 10717808592 and 10717808601.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54405022 + ... + 54405218.

It is an arithmetic number, because the mean of its divisors is an integer number (58378320).

Almost surely, 2^10717808640 is an apocalyptic number.

10717808640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10717808640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22417274880).

10717808640 is an abundant number, since it is smaller than the sum of its proper divisors (34116741120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10717808640 is a wasteful number, since it uses less digits than its factorization.

10717808640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 42.

The spelling of 10717808640 in words is "ten billion, seven hundred seventeen million, eight hundred eight thousand, six hundred forty".